Question

A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?

Answer 1

Answer: 0.20

Explanation:

As per given :

P(student enrolled in a math class ) = 65% = 0.65

P( student enrolled in a science class) = 43%= 0.43

P( student enrolled in both ) = 13% = 0.13

Formula of conditional probability :

`P(A|B)=\frac{P(A\text{ and }B)}{P(B)}`

Using the above formula,

The probability that the student is enrolled in a science class given that he is enrolled in maths class :

`P(\text{science}|\text{math})=\frac{P(\text{science and maths})}{P(\text{math})}\\\\=(0.13)/(0.65)\\\\=(13)/(65)\\\\=(1)/(5)=0.20`

Hence, the probability that the student is also enrolled in a science class = 0.20 .